Answer: 
which is Choice B
This is the same as writing 
The second "2" is not under or inside the square root.
==========================================================
Explanation:
Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.
Therefore, 
--------------
You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve 
for x and you should get 
as the length of each leg.
Then take the ratio of the opposite over hypotenuse to find the same answer mentioned above.
Answer:
36 ft
Step-by-step explanation:
The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:
Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!
Answer:
2/3
Step-by-step explanation:
To be able to find what the total fraction of bagels eaten, the fractions need to have common denominators. To do this, you multiply 1/4 by 3 in both the numerator and the denominator. Now that the two fractions have the same denominator, you can add the fraction's numerator to get the total fraction, 8/12. However, 8/12 can be simplified more, so you divide by 4 and end up with 2/3.
2x^2 - 8x - 24
First, we can factor a 2 out of this expression to simplify it.
2(x^2 - 4x - 12)
Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.
We're gonna try using the AC method first.
List factors of -12.
1 * -12
-1 * 12
2 * -6
-2 * 6 (these digits satisfy the criteria.)
Split the middle term.
2(x^2 - 2x + 6x - 12)
Factor by grouping.
2(x(x - 2) + 6(x - 2)
Rearrange terms.
<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
13 143rds would be written as 13/143.
